SOLUTION: Given the points P(-1,-6), Q(15,24), and M(7,9), prove that M is the midpoint of segment PQ.
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Question 184316: Given the points P(-1,-6), Q(15,24), and M(7,9), prove that M is the midpoint of segment PQ.
Found 2 solutions by stanbon, solver91311:
Answer by stanbon(75887) (Show Source): You can put this solution on YOUR website!
Given the points P(-1,-6), Q(15,24), and M(7,9), prove that M is the midpoint of segment PQ.
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The x-coordinate of the midpoint is the average of the endpoint
x-coordinates. Same for the y-coordinate of the midpoint.
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Your problem:
(15 + -1)/2 = 14/2 = 7
(24 + -6)/2 = 18/2 = 9
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Cheers,
Stan H.
Answer by solver91311(24713) (Show Source): You can put this solution on YOUR website!
Use the mid-point formula:
 = \left( \frac{x_1 + x_2}{2} \ , \ \frac{y_1 + y_2}{2}\right))
So, demonstrate that:
 = \left( \frac{-1 + 15}{2} \ ,\ \frac{-6 + 24}{2}\right))
John
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